# Math Help - picking numbers

1. ## picking numbers

Bernardo randomly picks 3 distinct numbers from the set {1, 2, 3, 4, 5, 6, 7, 8, 9} and arranges them in descending order to form a 3-digit number. Silvia randomly
picks 3 distinct numbers from the set {1, 2, 3, 4, 5, 6, 7, 8} and also arranges
them in descending order to form a 3-digit number. What is the probability that
Bernardo’s number is larger than Silvia’s number?

I get $\frac{83}{168}$.